Pochettino, whose current deal expires at the end of next season, has indicated he will discuss his future with the club's new board this summer.
"I think it's massive," Fonte said. "It's one of the main things. We players love to play under him, we love his philosophy, his style of play, and the way he manages is top.
"He is definitely one of the best managers that I have played under.
"So we look forward to him signing a big, long contract so we can relax and enjoy our time with him."
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